Another math question

[Kytiara]

Markus250 said:

Kytiara said:

I'm pretty sure it doesn't work that way txags911.

edit: I guess I should extrapolate a little.

 Take x to equal 0.9999

x = 0.9999
10x = 9.999
10x - x = 9.999 - 0.9999 = 8.9991
9x = 8.9991
x = 0.9999

You can then continue adding 9's towards infinity and it never changes.  What you are implying is as x nears infinity, the number tends towards 1 which is true, however it never reaches 1, just gets really really close.

You forgot that it isn't 9.9999, it's 9.9999.... so your equation means nothing

Actually I didn't forget anything.  If you read the bottom paragraph, what I am actually saying is that you can use that equation as an example, and the same principle holds for every extra 9 you add on the back.  If 0.9 != 1 and 0.99 != 1, then 0.9999... != 1 either, it only gets really really close. 

So what I am saying is 0.999... != 1, but the LIMIT of 0.999..... is 1 as it approaches infinity, two completely different things.

As for that Dr Math site, his "proof"  showed a limit, not equality. 

edit: I'm not implying that the Dr Math guy is wrong, I'm just saying that the answer is more complicated than saying 0.999... = 1.